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Finding the Third Proportional to 4,506.75 and 7,054.88

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Solution

The third proportional to 4,506.75 and 7,054.88 is: 11,043.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.75 : 7,054.88 = 7,054.88 : x
  2. Step 2: Convert to fraction form
    4,506.75/7,054.88 = 7,054.88/x
  3. Step 3: Cross multiply
    4,506.75x = 7,054.88 × 7,054.88
  4. Step 4: Simplify right side
    4,506.75x = 49,771,261.27
  5. Step 5: Solve for x
    x = 49,771,261.27/4,506.75
  6. Step 6: Final answer
    x = 11,043.71

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.